Precalculus: Mathematics for Calculus 6th Edition - Solutions by Chapter

The case in which two sides and a nonincluded angle can determine two different triangles

a + (b + c) = (a + b) + c, a(bc) = (ab)c.

a + b = b + a ab = ba

A surface generated by rotating an ellipse about its major axis

A method of solving a system of n linear equations in n unknowns.

The set of all points in the coordinate plane corresponding to the ordered pairs of the relation.

The set of all points in the coordinate plane corresponding to the pairs x, y that are solutions of the equation.

The function ƒ(x) = x.

See Absolute value of a real number

A process for proving that a statement is true for all natural numbers n by showing that it is true for n = 1 (the anchor) and that, if it is true for n = k, then it must be true for n = k + 1 (the inductive step)

For the line segment with endpoints a and b, a + b2

a + bi c + di = ac + bd c2 + d2 + bc - ad c2 + d2 i

The set of all output values corresponding to elements in the domain.

A transformation that leaves the basic shape of a graph unchanged.

Ratio change in y/change in x

See Convergence of a series

If a = b, then b = a

A procedure used to divide a polynomial by a linear factor, x - a

The function that associates points on the unit circle with points on the real number line

A value in the domain of a function that makes the function value zero.